Solve for y
y=-\frac{x}{4}+\frac{1}{x}
x\neq 0
Solve for x
x=2\sqrt{y^{2}+1}-2y
x=-2\sqrt{y^{2}+1}-2y
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4xy=4-x^{2}
Subtract x^{2} from both sides.
\frac{4xy}{4x}=\frac{4-x^{2}}{4x}
Divide both sides by 4x.
y=\frac{4-x^{2}}{4x}
Dividing by 4x undoes the multiplication by 4x.
y=-\frac{x}{4}+\frac{1}{x}
Divide -x^{2}+4 by 4x.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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